NDLI: Coupled image restoration model with non-convex non-smooth ℓ p wavelet frame and total variation regularisation

Content Provider	IET Digital Library
Author	Shen, Zhengwei Cheng, Lishuang
Abstract	In this study, the authors propose a coupled analysis-based image restoration model regularised by total variation(TV) and wavelet frame coefficients penalty terms imposed on non-convex non-smooth ℓp-norm (0<p<1). The highlighted contributions to this model are: (i) the intrinsic quality of preserving piecewise smooth areas of TV and the amazing sparse representing capability of the wavelet frame to the underlying image alternately interact, will lead to better experimental results; and (ii) the non-convex non-smooth ℓp-norm (0<p<1) regularisation is more amenable to the marginal distributions of gradients of natural images than ℓ1-norm, which will suppress staircase effects more effectively. By alternative direction method of multipliers, the objective function is first divided into three subproblems that are solved by the fast iterative shrinkage-thresholding algorithm (FISTA) and the generalised iterated shrinkage algorithm (GISA) respectively. The GISA solution is computationally more efficient than a diversity of algorithms such as iteratively reweighted L1( IRL1), iteratively reweighted least squares (IRLS) restricted to solve non-convex non-decreasing function; and the FISTA solution also has a faster convergence rate than iterative shrinkage-thresholding algorithm. The extensive experimental results show that the proposed model exhibit an amazing image restoration capability.
Starting Page	926
Ending Page	935
Page Count	10
ISSN	17519659
Volume Number	10
e-ISSN	17519667
Issue Number	Issue 11, Nov (2016)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-ipr/10/11
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-ipr.2015.0787
Journal	IET Image Processing
Publisher Date	2016-06-21
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Augmented Lagrangian Method Computer Vision And Image Processing Technique Concave Programming Convergence of Numerical Method Coupled Analysis-based Image Restoration Model Fast Iterative Shrinkage-thresholding Algorithm FISTA Convergence Rate Generalised Iterated Shrinkage Algorithm GISA Gradient Method Heavy-tailed Distribution Image Representation Image Restoration Integral Transforms in Numerical Analysis Interpolation And Function Approximation Multiplier Alternative Direction Method Natural Image Gradient Distribution Nonconvex Nonsmooth Objective Function Nonconvex Nonsmooth ℓp Wavelet Frame Coefficient Nonconvex Nonsmooth ℓp-norm Regularisation Numerical Analysis Optical, Image And Video Signal Processing Optimisation Technique Preserving Piecewise Smooth Areas Intrinsic Quality Staircase Effect Suppression Total Variation Regularisation Wavelet Frame Sparse Representing Capability Wavelet Transform
Content Type	Text
Resource Type	Article
Subject	Signal Processing Electrical and Electronic Engineering Computer Vision and Pattern Recognition Software

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